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Finding the Fourth Proportional to 3,223.53, 4,448.12 and 1,826.01

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Solution

The fourth proportional to 3,223.53, 4,448.12 and 1,826.01 is: 2,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.53 : 4,448.12 = 1,826.01 : x
  2. Step 2: Convert to fraction form
    3,223.53/4,448.12 = 1,826.01/x
  3. Step 3: Cross multiply
    3,223.53x = 4,448.12 × 1,826.01
  4. Step 4: Simplify right side
    3,223.53x = 8,122,302.47
  5. Step 5: Solve for x
    x = 8,122,302.47/3,223.53
  6. Step 6: Final answer
    x = 2,519.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.